SOME RESULTS ON FUNDAMENTAL GROUPS AND BETTI NUMBERS OF FINSLER MANIFOLDS

DOI10.1142/S0129167X12500632zbMath1242.53095OpenAlexW1998079124MaRDI QIDQ2888829

Wei Zhao, Yi-Bing Shen

Publication date: 4 June 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x12500632

zbMATH Keywords

Ricci curvaturefundamental groupFinsler manifoldthe first Betti number

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (4)

Comparison theorems in Finsler geometry with integral weighted Ricci curvature bounds and their applications ⋮ A Cheeger finiteness theorem for Finsler manifolds ⋮ Generalizations of Bonnet-Myers theorem on Finsler manifolds ⋮ Growth of fundamental group for Finsler manifolds with integral Ricci curvature bound

Cites Work

• On fundamental groups of Finsler manifolds
• Gromov pre-compactness theorems for nonreversible Finsler manifolds
• Bounds on the fundamental group of a manifold with almost nonnegative Ricci curvature
• Ricci curvature and volume convergence
• Volume comparison and its applications in Riemann-Finsler geometry
• A sphere theorem for non-reversible Finsler metrics

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